Exam 10: One-Sample Tests of Hypothesis

It is claimed that in a bushel of peaches less than ten percent are defective.A sample of 400 peaches is examined and 50 are found to be defective.If $\alpha$ = 0.025,what will be the decision?

Based on the Nielsen ratings,the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area.In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station.What is the critical value if $\alpha$ = 0.01?

It is claimed that in a bushel of peaches less than ten percent are defective.A sample of 400 peaches is examined and 50 are found to be defective.What is the critical value for $\alpha$ = 0.025?

Assuming that the null hypothesis is true,a p-value is the probability of observing a sample value greater than and/or less than an observed sample observation.

If the null hypothesis is and the alternate hypothesis states that µ is less than 200,then,a two-tail test is being conducted.

The mean weight of newborn infants at a community hospital is 6.6 pounds.A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0,7.3,6.0,8.8,6.8,8.4,and 6.6 pounds.What is the degree of freedom?

The null hypothesis is rejected when a p-value is less than a stated significance level.

A p-value is the same as a stated significance level.

A nationwide survey of college students was conducted and found that students spend two hours per class hour studying.A professor at your college wants to determine whether the time students spend at your college is significantly different from two hours.A random sample of fifteen statistics students is carried out and the findings indicate an average of 1.75 hours with a standard deviation of 0.24 hours.The t-test is to be conducted at the 5% level of significance.What is H₀? ________________________

If a p-value is 0.75,it is very likely that the null hypothesis is false and would be rejected.

To set up a decision rule,the sampling distribution is divided into two regions - a region of non-rejection and a region where the null hypothesis is rejected.

It is claimed that in a bushel of peaches less than ten percent are defective.A sample of 400 peaches is examined and 50 are found to be defective.What is the alternate hypothesis for a one-sided test?

When the p-value is 0.001 or less,there is extremely strong evidence that the null hypothesis is not true.

A restaurant that bills its house account monthly is concerned that the average monthly bill exceeds $200 per account.A random sample of twelve accounts is selected,resulting in a sample mean of $220 and a standard deviation of $12.The t-test is to be conducted at the 5% level of significance.What is H₁? ________________________

Based on the Nielsen ratings,the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area.In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station.What is the sample proportion?

How is the significance level related to a p-value when the null hypothesis is rejected?

If the 1% level of significance is used and the computed value of z is +6.00,what is our decision?

A machine is set to fill the small size packages of M&M candies with 56 candies per bag.A sample revealed: 3 bags of 56,2 bags of 57,1 bag of 55,and 2 bags of 58.How many degrees of freedom are there?

What is the probability of making a Type II error if the null hypothesis is actually true?

The average cost of tuition,room and board at small private liberal arts colleges is reported to be $8,500 per term,but a financial administrator believes that the average cost is higher.A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745 with a standard deviation of $1,200.Let = 0.05.Based on the computed test statistic or p-value,what is our decision about the average cost?